Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.4s (16%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 734.0ms

ival-mult: 593.0ms (80.8% of total)

ival-sub: 87.0ms (11.9% of total)

ival-add: 44.0ms (6% of total)

const: 7.0ms (1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`unsub-neg`
568×	`fma-define`
420×	`sub-neg`
388×	`distribute-lft-out`
372×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im)))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im)))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im))))
(-.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.re))

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im))
(-.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(-.f64 (.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) x.im)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im))))
(-.f64 (.f64 (neg.f64 x.re) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(-.f64 (.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.re))
(-.f64 (.f64 x.im (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))) (.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(-.f64 (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.im x.re)) (.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (.f64 (.f64 x.re x.im) #s(literal -2 binary64)) (.f64 x.im (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal -3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))

Symmetry

(abs x.im)

(negabs x.re)

explain112.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
21	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
14	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

59.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 22.0ms (70% of total)

ival-sub: 6.0ms (19.1% of total)

ival-add: 3.0ms (9.5% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 75 to 30 computations (60% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	80.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	77.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	77.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 65 to 39 computations (40% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.re (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))

Rules

729×	`unsub-neg`
651×	`fma-neg`
591×	`fma-define`
538×	`sub-neg`
407×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	649
1	73	617
2	159	617
3	356	614
4	972	614
5	3167	614
6	5990	614
7	7730	614

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(.f64 x.re (.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
x.re
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(.f64 (.f64 x.im #s(literal -2 binary64)) x.im)
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.re x.im)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.re (.f64 x.im x.im))
(.f64 (.f64 x.re x.im) x.im)
(.f64 x.im (.f64 x.re x.im))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im x.im)))
(fma.f64 x.re (*.f64 x.im (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im)))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.im (*.f64 #s(literal 2 binary64) x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -2 binary64))))
(.f64 (.f64 x.im #s(literal -2 binary64)) x.im)
(.f64 x.im (.f64 x.im #s(literal -2 binary64)))
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)

localize119.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	95.1%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	87.5%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	85.0%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	95.1%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	92.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	87.2%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	86.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	87.5%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	86.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Results

78.0ms

256×

valid

Compiler

Compiled 181 to 27 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 27.0ms (64.7% of total)

ival-pow: 5.0ms (12% of total)

ival-add: 4.0ms (9.6% of total)

ival-fma: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series47.0ms (0.5%)

Counts

18 → 348

Calls

Call 1

Inputs
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))>
#<alt (.f64 x.im (.f64 x.im #s(literal -3 binary64)))>
#<alt (*.f64 x.im #s(literal -3 binary64))>
#<alt (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))>
#<alt (.f64 x.re (.f64 x.im x.im))>
#<alt (*.f64 x.im x.im)>
#<alt (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)>
#<alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))>
#<alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))>
#<alt (*.f64 x.re x.re)>
#<alt (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))>
#<alt (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))>
#<alt (fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))>
#<alt (*.f64 x.im #s(literal -2 binary64))>

Outputs
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
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#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(* x.re (* x.im (* x.im -3)))
2.0ms	x.re	@	-inf	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
2.0ms	x.re	@	0	(- (* x.re x.re) (* x.im x.im))
1.0ms	x.re	@	0	(* x.re (* x.im (* x.im -3)))
1.0ms	x.im	@	inf	(* x.im (* x.im -3))

rewrite364.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log1p-expm1-u`
276×	`associate-r`
220×	`expm1-log1p-u`
216×	`add-cube-cbrt`
215×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	503
1	566	420
2	7105	420

Stop Event

1×	node limit

Counts

18 → 448

Calls

Call 1

Inputs
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(*.f64 x.im #s(literal -3 binary64))
(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(.f64 x.re (.f64 x.im x.im))
(*.f64 x.im x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(*.f64 x.im #s(literal -2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)))
(.f64 (.f64 x.re (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(sqrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x.re #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -3 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
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(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
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(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
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simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

127×	`*-commutative`
71×	`+-commutative`
53×	`sub-neg`
39×	`fma-undefine`
34×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	857	3407
1	2889	3407

Stop Event

1×

unsound

Counts

796 → 465

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
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(pow.f64 (sqrt.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x.im #s(literal -2 binary64))) #s(literal 1 binary64)))

Outputs
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#s(literal -27 binary64)
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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eval78.0ms (0.9%)

Compiler: Compiled 12244 to 1695 computations (86.2% saved)

prune90.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	594	7	601
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	596	9	605

Accuracy

100.0%

Counts

605 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	59.3%	(pow.f64 x.re #s(literal 3 binary64))
▶	0.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
▶	80.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	83.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	50.2%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	84.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	77.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	77.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 244 to 152 computations (37.7% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	128	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	cost-diff	0	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	0	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	128	(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	128	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

21×	`*-commutative`
19×	`distribute-lft-in`
16×	`distribute-rgt-in`
16×	`fma-define`
13×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	998
1	115	998
2	311	998

Stop Event

1×

unsound

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)

Outputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))) (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize197.0ms (2.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	100.0%	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	100.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))

Results

87.0ms

256×

invalid

Compiler

Compiled 262 to 35 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 24.0ms (52.4% of total)

ival-sub: 7.0ms (15.3% of total)

ival-add: 5.0ms (10.9% of total)

ival-pow: 5.0ms (10.9% of total)

ival-fma: 3.0ms (6.5% of total)

ival-div: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts

12 → 210

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re x.im)>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))>
#<alt (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
#<alt (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))>
#<alt (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)>
#<alt (*.f64 x.im #s(literal 0 binary64))>
#<alt (.f64 (.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (*.f64 x.im x.re)>

Outputs
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (NAN.f64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (NAN.f64))>
#<alt (-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (NAN.f64))>
#<alt (-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (NAN.f64))>
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#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im))) (.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) x.im))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) x.im))))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	0	(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	-inf	(* (* (- x.re x.im) (+ x.re x.im)) x.re)
1.0ms	x.re	@	-inf	(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	0	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
1.0ms	x.re	@	inf	(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

292×	`log1p-expm1-u`
292×	`expm1-log1p-u`
284×	`add-exp-log`
283×	`add-cube-cbrt`
279×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	468
1	749	468

Stop Event

1×	node limit

Counts

12 → 240

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 x.im #s(literal 0 binary64))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.im x.re)

Outputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -26 binary64)
#s(literal -25 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 19682 binary64)
#s(literal 387381124 binary64)

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

735×	`distribute-lft-in`
688×	`distribute-rgt-in`
287×	`associate-+r+`
277×	`associate-+l+`
250×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	6924
1	784	6565
2	2669	6355

Stop Event

1×	node limit

Counts

450 → 139

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
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(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
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(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))
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(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
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(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
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(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
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(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
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(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
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(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
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(*.f64 #s(literal -27 binary64) x.im)
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(pow.f64 x.re #s(literal 2 binary64))
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(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
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Outputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
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eval61.0ms (0.7%)

Compiler: Compiled 11807 to 1572 computations (86.7% saved)

prune92.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	578	14	592
Fresh	1	1	2
Picked	5	0	5
Done	1	1	2
Total	585	16	601

Accuracy

100.0%

Counts

601 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(pow.f64 x.re #s(literal 3 binary64))
▶	84.7%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	83.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	34.9%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	34.9%	(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	34.9%	(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	77.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	84.7%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
	47.8%	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
	47.8%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	2.6%	#s(literal 387381124 binary64)
	2.6%	#s(literal 1/757 binary64)
▶	2.6%	#s(literal -1 binary64)
	2.7%	#s(literal -19682 binary64)
	2.7%	#s(literal -7624435282568 binary64)
▶	2.7%	#s(literal -7625597484986 binary64)

Compiler

Compiled 347 to 225 computations (35.2% saved)

simplify151.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	384	(.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))
✓	cost-diff	576	(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))
✓	cost-diff	576	(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
✓	cost-diff	640	(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))

Rules

770×	`fma-neg`
722×	`unsub-neg`
658×	`sub-neg`
575×	`fma-define`
521×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	920
1	110	654
2	352	586
3	1003	574
4	2988	574
5	7305	574

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
x.im
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
#s(literal -1 binary64)
(*.f64 x.im x.re)
x.re
(.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))
(*.f64 #s(literal -1 binary64) x.re)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
#s(literal -7625597484986 binary64)
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
#s(literal -27 binary64)
(*.f64 x.im x.re)
x.im
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)

Outputs
(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (fma.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (.f64 #s(literal 0 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re))))
(+.f64 (fma.f64 x.im (.f64 x.im (neg.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (.f64 (.f64 x.im x.re) #s(literal -2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (.f64 x.im (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (*.f64 #s(literal 0 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.im (neg.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.im x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
(.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (.f64 #s(literal 0 binary64) x.re))))
(.f64 x.im (.f64 x.im (neg.f64 x.re)))
(.f64 x.im (.f64 x.re (neg.f64 x.im)))
(.f64 x.im (neg.f64 (.f64 x.im x.re)))
x.im
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)))
(*.f64 x.im (neg.f64 x.re))
(*.f64 x.re (neg.f64 x.im))
(neg.f64 (*.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)))
(*.f64 x.im (neg.f64 x.re))
(*.f64 x.re (neg.f64 x.im))
(neg.f64 (*.f64 x.im x.re))
#s(literal -1 binary64)
(*.f64 x.im x.re)
x.re
(.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))
(.f64 x.re (.f64 #s(literal 0 binary64) x.re))
#s(literal 0 binary64)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))
(.f64 x.re (.f64 #s(literal 0 binary64) x.re))
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.im x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(literal -7625597484986 binary64)
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 binary64)) (.f64 x.im (fma.f64 x.re x.im (.f64 x.im x.re))))
(fma.f64 (.f64 x.im x.re) #s(literal -27 binary64) (.f64 x.im (.f64 (.f64 x.im x.re) #s(literal -2 binary64))))
(.f64 (.f64 x.im x.re) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (fma.f64 x.im #s(literal -2 binary64) #s(literal -27 binary64)))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im x.re) #s(literal -27 binary64))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
#s(literal -27 binary64)
(*.f64 x.im x.re)
x.im
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.im x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (fma.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (.f64 #s(literal 0 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re))))
(+.f64 (fma.f64 x.im (.f64 x.im (neg.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (.f64 (.f64 x.im x.re) #s(literal -2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (.f64 x.im (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(fma.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.im x.re) (.f64 x.re (*.f64 #s(literal 0 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.im (neg.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.im x.re)))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.im x.re)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(literal 2 binary64)

localize230.0ms (2.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
✓	accuracy	92.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	accuracy	92.3%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.7%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
✓	accuracy	92.4%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	86.7%	(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))

Results

86.0ms

256×

valid

Compiler

Compiled 232 to 30 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 20.0ms (55.1% of total)

ival-add: 6.0ms (16.5% of total)

ival-sub: 5.0ms (13.8% of total)

ival-pow: 5.0ms (13.8% of total)

const: 1.0ms (2.8% of total)

backward-pass: 0.0ms (0% of total)

series31.0ms (0.4%)

Counts

13 → 241

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))>
#<alt (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))>
#<alt (-.f64 x.re x.im)>
#<alt (+.f64 x.re x.im)>
#<alt (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))>
#<alt (-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>

Outputs
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
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#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))) (.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))) (.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 27 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 27 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 27 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 27 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im))) (.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.f64 #s(literal 2 binary64) x.re)))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	0	(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
1.0ms	x.im	@	0	(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
1.0ms	x.im	@	0	(* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))))
1.0ms	x.im	@	-inf	(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
0.0ms	x.im	@	-inf	(- (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite132.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`log1p-expm1-u`
290×	`expm1-log1p-u`
282×	`add-exp-log`
280×	`add-cube-cbrt`
277×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	532
1	645	261

Stop Event

1×	node limit

Counts

13 → 387

Calls

Call 1

Inputs
(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))
(.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(*.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
(+.f64 x.re x.im)
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

Outputs
(-.f64 (.f64 x.im (.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x.im (.f64 x.im x.re)) #s(literal 2 binary64)) (fma.f64 x.im (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 x.im (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 #s(literal 1 binary64) (fma.f64 x.im (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (*.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x.im (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.im (*.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x.im (.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.im (.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 x.im (.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))))))
(.f64 (-.f64 (pow.f64 (.f64 x.im (.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (.f64 x.im x.re) (pow.f64 x.re #s(literal 3 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (sqrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 0 binary64))

simplify293.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-define`
523×	`associate-r`
482×	`associate-l`
374×	`times-frac`
324×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	921	23706
1	2534	20175

Stop Event

1×	node limit

Counts

628 → 597

Calls

Call 1

Inputs
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im x.re))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) x.re))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
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(.f64 (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))) (+.f64 (pow.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (sqrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 0 binary64))

Outputs
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) x.re (/.f64 (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)) x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (neg.f64 x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) x.re (/.f64 (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)) x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (neg.f64 x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (neg.f64 x.re) (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.im)) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (neg.f64 x.re) (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.im)) x.im)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(.f64 x.im (.f64 x.re (*.f64 #s(literal 0 binary64) x.re)))
#s(literal 0 binary64)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) x.im)))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
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(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))))
(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))))
(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)))
(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))) (neg.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 2 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (exp.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.re) #s(literal 0 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re #s(literal 0 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) #s(literal 0 binary64))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) (fma.f64 (neg.f64 x.im) #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (sqrt.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 0 binary64))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))

eval134.0ms (1.5%)

Compiler: Compiled 18858 to 2661 computations (85.9% saved)

prune353.0ms (4.1%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	797	9	806
Fresh	4	6	10
Picked	2	3	5
Done	0	1	1
Total	803	19	822

Accuracy

100.0%

Counts

822 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(pow.f64 x.re #s(literal 3 binary64))
▶	84.7%	(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	83.2%	(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	83.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	57.3%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	77.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	80.3%	(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
	84.7%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
	47.8%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
▶	21.7%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
	34.9%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
	21.7%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
	21.7%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
▶	2.6%	#s(literal 387381124 binary64)
	2.6%	#s(literal 1/757 binary64)
✓	2.6%	#s(literal -1 binary64)
	2.7%	#s(literal -19682 binary64)
▶	2.7%	#s(literal -7624435282568 binary64)
✓	2.7%	#s(literal -7625597484986 binary64)

Compiler

Compiled 354 to 234 computations (33.9% saved)

simplify279.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.re)
✓	cost-diff	0	(*.f64 x.im #s(literal -27 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
✓	cost-diff	0	(.f64 x.im (.f64 (neg.f64 x.im) x.re))
✓	cost-diff	64	(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)

Rules

2985×	`fma-neg`
392×	`distribute-lft-in`
353×	`distribute-rgt-in`
314×	`sub-neg`
310×	`distribute-lft-neg-in`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	31	529
1	79	485
2	209	457
3	543	431
4	1387	431
5	2877	431
6	3839	431
7	4316	431
8	4626	431
9	4778	431
10	4802	431
11	4826	431
12	4834	431
13	4881	431
14	4881	427

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.im (.f64 (neg.f64 x.im) x.re))
x.im
(*.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.re
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(literal -7624435282568 binary64)
#s(literal 387381124 binary64)
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
x.re
(*.f64 x.im #s(literal -27 binary64))
x.im
#s(literal -27 binary64)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 (.f64 (-.f64 x.re x.im) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
x.re
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)

Outputs
(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (fma.f64 x.im (.f64 (neg.f64 x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re))))
(-.f64 (fma.f64 x.im (.f64 (neg.f64 x.im) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.im x.re) (+.f64 (neg.f64 x.im) (*.f64 x.im #s(literal -2 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (.f64 x.im (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.im x.re)))
(.f64 x.im (.f64 (neg.f64 x.im) x.re))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(.f64 x.im (.f64 x.im (neg.f64 x.re)))
x.im
(*.f64 (neg.f64 x.im) x.re)
(*.f64 x.im (neg.f64 x.re))
(neg.f64 x.im)
x.re
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.im x.re)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal 2 binary64)))
(.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
#s(literal -7624435282568 binary64)
#s(literal 387381124 binary64)
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
x.re
(*.f64 x.im #s(literal -27 binary64))
x.im
#s(literal -27 binary64)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 x.re (.f64 x.im (-.f64 x.re x.im))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (.f64 x.im (-.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.im x.re) #s(literal -2 binary64))))
(.f64 (.f64 x.im x.re) (+.f64 (-.f64 x.re x.im) (*.f64 x.im #s(literal -2 binary64))))
(.f64 x.im (.f64 x.re (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(.f64 (.f64 x.im x.re) (+.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.im (.f64 x.re (fma.f64 x.im #s(literal -3 binary64) x.re)))
(.f64 (.f64 (-.f64 x.re x.im) x.im) x.re)
(.f64 x.re (.f64 x.im (-.f64 x.re x.im)))
(.f64 x.im (.f64 (-.f64 x.re x.im) x.re))
(.f64 x.im (.f64 x.re (-.f64 x.re x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.im x.re)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal 2 binary64)))
(.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(literal 2 binary64)

localize135.0ms (1.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
✓	accuracy	92.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	accuracy	92.2%	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.re)
✓	accuracy	100.0%	(*.f64 x.im #s(literal -27 binary64))
✓	accuracy	99.7%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 (neg.f64 x.im) x.re))
✓	accuracy	92.4%	(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	accuracy	86.7%	(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64)))

Results

106.0ms

256×

valid

Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 19.0ms (57.9% of total)

ival-pow: 5.0ms (15.2% of total)

ival-sub: 4.0ms (12.2% of total)

ival-add: 3.0ms (9.1% of total)

ival-neg: 2.0ms (6.1% of total)

const: 1.0ms (3% of total)

backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 x.im (.f64 (neg.f64 x.im) x.re))>
#<alt (.f64 x.re (.f64 x.im #s(literal -27 binary64)))>
#<alt (*.f64 x.im #s(literal -27 binary64))>
#<alt (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re)>
#<alt (*.f64 (-.f64 x.re x.im) x.im)>
#<alt (-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>

Outputs
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -27 binary64) (.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re)) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re)) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re)) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	inf	(* x.re (* x.im -27))
1.0ms	x.im	@	-inf	(* (* (- x.re x.im) x.im) x.re)
0.0ms	x.im	@	inf	(* (* (- x.re x.im) x.im) x.re)
0.0ms	x.re	@	-inf	(* (* (- x.re x.im) x.im) x.re)
0.0ms	x.re	@	0	(* (* (- x.re x.im) x.im) x.re)

rewrite168.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`log1p-expm1-u`
264×	`associate-r`
217×	`expm1-log1p-u`
211×	`add-exp-log`
208×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	287
1	503	196
2	7858	196

Stop Event

1×	node limit

Counts

8 → 217

Calls

Call 1

Inputs
(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.im (.f64 (neg.f64 x.im) x.re))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(*.f64 x.im #s(literal -27 binary64))
(.f64 (.f64 (-.f64 x.re x.im) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))))
(*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))
(*.f64 x.re (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))))
(.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))))
(.f64 (-.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))) (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64))) (.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64))))
(pow.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(exp.f64 (log.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im x.re) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im x.re) x.im (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (hypot.f64 (.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 x.im (sqrt.f64 x.re)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)))
(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re) #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) x.im #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)))
(.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64))

simplify249.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-neg`
548×	`cancel-sign-sub-inv`
427×	`distribute-lft-neg-in`
403×	`distribute-rgt-neg-in`
247×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	14226
1	1251	13326
2	4063	12154

Stop Event

1×	node limit

Counts

397 → 325

Calls

Call 1

Inputs
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(/.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64))) (.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64))))
(pow.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(exp.f64 (log.f64 (+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im x.re) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im x.re) x.im (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(fma.f64 (hypot.f64 (.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 x.im (sqrt.f64 x.re)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)))
(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re) #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) x.im #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)))
(.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64))

Outputs
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re))
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(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 (neg.f64 (.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im)) (fma.f64 (.f64 x.im #s(literal -2 binary64)) (.f64 x.re x.im) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re x.im) (+.f64 x.re x.im) (.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) x.re))
(.f64 (.f64 x.re x.im) (+.f64 (+.f64 x.re x.im) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) x.im #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (+.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x.im x.re) #s(literal 0 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (*.f64 x.im x.re))) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(fma.f64 x.re (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
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(fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64))
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(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re #s(literal 0 binary64))
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(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
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(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
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(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
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(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) (sqrt.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re))) #s(literal 0 binary64))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (+.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (+.f64 x.re x.im)))))
(.f64 x.re (.f64 x.im (+.f64 x.re x.im)))

eval118.0ms (1.4%)

Compiler: Compiled 9174 to 1530 computations (83.3% saved)

prune74.0ms (0.8%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	469	5	474
Fresh	1	9	10
Picked	2	3	5
Done	1	3	4
Total	473	20	493

Accuracy

100.0%

Counts

493 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(pow.f64 x.re #s(literal 3 binary64))
	84.7%	(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	83.2%	(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	83.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	47.8%	(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	33.2%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
	80.3%	(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
	47.8%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	66.6%	(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
✓	21.7%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
	70.7%	(.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
	34.9%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
	21.7%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
	21.7%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
✓	2.6%	#s(literal 387381124 binary64)
	2.6%	#s(literal 1/757 binary64)
✓	2.6%	#s(literal -1 binary64)
	2.7%	#s(literal -19682 binary64)
✓	2.7%	#s(literal -7624435282568 binary64)
✓	2.7%	#s(literal -7625597484986 binary64)

Compiler

Compiled 645 to 249 computations (61.4% saved)

regimes37.0ms (0.4%)

Counts

39 → 2

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))

Outputs

(-.f64 (+.f64 (*.f64 x.im (*.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

(+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))

Calls

3 calls:

13.0ms	x.im
11.0ms	x.re
10.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
94.8%	3	`x.im`
99.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes20.0ms (0.2%)

Counts

33 → 2

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))

Outputs

(*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))

(+.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))

Calls

2 calls:

10.0ms	x.re
8.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
99.9%	3	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes143.0ms (1.6%)

Counts

31 → 2

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))

Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))

Calls

3 calls:

123.0ms	x.re
9.0ms	x.im
8.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
92.2%	2	`x.im`
92.6%	2	`x.re`
92.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes11.0ms (0.1%)

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))

Calls

1 calls:

9.0ms

x.re

Results

Accuracy	Segments	Branch
92.6%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))

Outputs

(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

(*.f64 x.re (*.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))

Calls

2 calls:

10.0ms	x.re
8.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
92.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
92.6%	2	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes16.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))

Outputs
(+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))

Calls

2 calls:

8.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
88.6%	2	`x.im`
87.9%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) #s(literal 0 binary64))

Outputs
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))

Calls

2 calls:

4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
66.6%	1	`x.re`
66.6%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))

Outputs
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))

Calls

2 calls:

4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
34.9%	1	`x.im`
34.9%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))

Outputs
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
21.7%	1	`x.re`
21.7%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes58.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)
#s(literal -7624435282568 binary64)
#s(literal -19682 binary64)
#s(literal -1 binary64)
#s(literal 1/757 binary64)
#s(literal 387381124 binary64)

Outputs
#s(literal -7624435282568 binary64)

Calls

2 calls:

55.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
2.7%	1	`x.re`
2.7%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -7625597484986 binary64)

Outputs
#s(literal -7625597484986 binary64)

Calls

2 calls:

1.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
2.7%	1	`x.re`
2.7%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0729812879497414e+99	3.7943370099470796e+99

Results

1.0ms

16×

valid

Compiler

Compiled 61 to 38 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (110.4% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.9249056979887637e-307	0.0

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0729812879497414e+99	3.7943370099470796e+99

Results

1.0ms

16×

valid

Compiler

Compiled 54 to 34 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (109% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0729812879497414e+99	3.7943370099470796e+99

Results

1.0ms

16×

valid

Compiler

Compiled 54 to 34 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (110% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch65.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	5.400632592391558e-21	4.5492262044931045e-10

Results

58.0ms

160×

valid

Compiler

Compiled 286 to 185 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 51.0ms (96% of total)

ival-sub: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`*-commutative`
29×	`+-commutative`
19×	`sub-neg`
15×	`neg-sub0`
14×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	889
1	146	889
2	198	885
3	234	881
4	255	881
5	259	881
6	260	881

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (+.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))) (+.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (+.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 x.re (.f64 x.im (+.f64 x.re (.f64 x.im #s(literal -3 binary64))))))
(if (<=.f64 x.im #s(literal 5815372481559007/166153499473114484112975882535043072 binary64)) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64))))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
#s(literal -7624435282568 binary64)
#s(literal -7625597484986 binary64)

Outputs
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (+.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (+.f64 (.f64 x.im (.f64 x.re (neg.f64 x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (.f64 x.im (+.f64 (.f64 x.im (-.f64 (neg.f64 x.re) (.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (.f64 x.im (+.f64 (neg.f64 (.f64 x.im (+.f64 x.re (.f64 x.re #s(literal 2 binary64))))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im (+.f64 x.re (.f64 x.re #s(literal 2 binary64)))))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))) (+.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (+.f64 (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 x.re (.f64 x.im (+.f64 x.re (.f64 x.im #s(literal -3 binary64))))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))) (.f64 x.re (.f64 x.im (+.f64 x.re (.f64 x.im #s(literal -3 binary64))))))
(if (<=.f64 x.im #s(literal 5815372481559007/166153499473114484112975882535043072 binary64)) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64))))))
(if (<=.f64 x.im #s(literal 5815372481559007/166153499473114484112975882535043072 binary64)) (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64))))))
(.f64 x.re (.f64 x.im (+.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal -27 binary64))
#s(literal -7624435282568 binary64)
#s(literal -7625597484986 binary64)

soundness2.6s (29.9%)

Rules

1032×	`unsub-neg`
679×	`log1p-expm1-u`
658×	`fma-neg`
568×	`fma-define`
548×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301
0	33	532
1	645	261
0	39	468
1	749	468
0	921	23706
1	2534	20175
0	857	3407
1	2889	3407
0	526	14226
1	1251	13326
2	4063	12154
0	32	503
1	566	420
2	7105	420

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	unsound
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1041 to 305 computations (70.7% saved)

preprocess89.0ms (1%)

Remove: (abs x.im)
Compiler: Compiled 902 to 386 computations (57.2% saved)

analyze0.0ms (0%)

sample1.4s (16%)

preprocess134.0ms (1.5%)

explain112.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify101.0ms (1.2%)

localize119.0ms (1.4%)

series47.0ms (0.5%)

rewrite364.0ms (4.2%)

simplify111.0ms (1.3%)

eval78.0ms (0.9%)

prune90.0ms (1%)

simplify102.0ms (1.2%)

localize197.0ms (2.3%)

series30.0ms (0.3%)

rewrite58.0ms (0.7%)

simplify116.0ms (1.3%)

eval61.0ms (0.7%)

prune92.0ms (1.1%)

simplify151.0ms (1.7%)

localize230.0ms (2.6%)

series31.0ms (0.4%)

rewrite132.0ms (1.5%)

simplify293.0ms (3.4%)

eval134.0ms (1.5%)

prune353.0ms (4.1%)

simplify279.0ms (3.2%)

localize135.0ms (1.6%)

series20.0ms (0.2%)

rewrite168.0ms (1.9%)

simplify249.0ms (2.9%)

eval118.0ms (1.4%)

prune74.0ms (0.8%)

regimes37.0ms (0.4%)

regimes20.0ms (0.2%)

regimes143.0ms (1.6%)

regimes11.0ms (0.1%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes58.0ms (0.7%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch65.0ms (0.7%)

simplify21.0ms (0.2%)

soundness2.6s (29.9%)

preprocess89.0ms (1%)

end0.0ms (0%)

Profiling